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The Weak Weak Category of a Space
Published online by Cambridge University Press: 20 November 2018
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Let X be a topological space. We say that cat X ≤ n if there exists a map ϕ: X → T1(X, …, X) such that jϕ≃Δ: X → Xn+1, where T1(X, …, X) is the “fat wedge”, j is the inclusion and Δ is the diagonal map. This is an example of a right structure system. This right structure system leads to an associated weak structure system, namely weak category in this particular case.
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- Copyright © Canadian Mathematical Society 1971
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